A000062 A Beatty sequence: a(n) = floor(n/(e-2)).
1, 2, 4, 5, 6, 8, 9, 11, 12, 13, 15, 16, 18, 19, 20, 22, 23, 25, 26, 27, 29, 30, 32, 33, 34, 36, 37, 38, 40, 41, 43, 44, 45, 47, 48, 50, 51, 52, 54, 55, 57, 58, 59, 61, 62, 64, 65, 66, 68, 69, 71, 72, 73, 75, 76, 77, 79, 80, 82, 83, 84, 86, 87, 89, 90, 91, 93, 94, 96, 97, 98
Offset: 1
Keywords
References
- N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Links
- Christian G. Bower, Table of n, a(n) for n = 1..1000
- I. G. Connell, Some properties of Beatty sequences I, Canad. Math. Bull., 2 (1959), 190-197.
- I. G. Connell, Some properties of Beatty sequences II, Canad. Math. Bull., 3 (1960), 17-22.
- J. Lambek and L. Moser, Inverse and complementary sequences of natural numbers, Amer. Math. Monthly, 61 (1954), 454-458.
- J. Lambek and L. Moser, On some two way classifications of integers, Canad. Math. Bull. 2 (1959), 85-89.
- Index entries for sequences related to Beatty sequences
Crossrefs
Cf. A194807 (1/(e-2)).
Programs
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Magma
[Floor( n/(Exp(1)-2) ): n in [1..80]]; // Vincenzo Librandi, Mar 27 2015
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Maple
for n from 1 to 200 do printf(`%d,`,floor( n/(exp(1)-2))) od:
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Mathematica
Table[Floor[n/(E-2)],{n,100}] (* Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *) -
PARI
a(n)=floor( n/(exp(1)-2) ) \\ Hauke Worpel (thebigh(AT)outgun.com), Jun 11 2008
Extensions
More terms from James Sellers, Feb 19 2001